The area of the triangle

Question:

The area of the triangle with vertices $\mathrm{A}(\mathrm{z}), \mathrm{B}(\mathrm{iz})$ and $\mathrm{C}(\mathrm{z}+\mathrm{iz})$ is :

  1. 1

  2. $\frac{1}{2}|z|^{2}$

  3. $\frac{1}{2}$

  4. $\frac{1}{2}|z+i z|^{2}$


Correct Option: , 2

Solution:

$\mathrm{A}=\frac{1}{2}|\mathrm{z}||\mathrm{iz}|$

$=\frac{|\mathrm{z}|^{2}}{2}$

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